205300493 has 2 divisors, whose sum is σ = 205300494. Its totient is φ = 205300492.

The previous prime is 205300481. The next prime is 205300499. The reversal of 205300493 is 394003502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167391844 + 37908649 = 12938^2 + 6157^2 .

It is a cyclic number.

It is not a de Polignac number, because 205300493 - 2⁸ = 205300237 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205300499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102650246 + 102650247.

It is an arithmetic number, because the mean of its divisors is an integer number (102650247).

Almost surely, 2^205300493 is an apocalyptic number.

It is an amenable number.

205300493 is a deficient number, since it is larger than the sum of its proper divisors (1).

205300493 is an equidigital number, since it uses as much as digits as its factorization.

205300493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 205300493 is about 14328.3108913786. The cubic root of 205300493 is about 589.9248137457.

Adding to 205300493 its reverse (394003502), we get a palindrome (599303995).

The spelling of 205300493 in words is "two hundred five million, three hundred thousand, four hundred ninety-three".